{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T18:29:14Z","timestamp":1787336954809,"version":"build-2736575974"},"reference-count":5,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Matrix Anal. Appl."],"published-print":{"date-parts":[[2003,1]]},"abstract":"<jats:p>This paper is concerned with Cheeger-type bounds for nonmaximal eigenvalues of nonnegative irreducible matrices. It is shown that recent upper bounds found by Nabben can be strictly improved when the matrices are positive, stochastic, and reversible, indicating the Nabben bounds are never sharp in this case.<\/jats:p>","DOI":"10.1137\/s0895479802404684","type":"journal-article","created":{"date-parts":[[2003,11,17]],"date-time":"2003-11-17T21:00:45Z","timestamp":1069102845000},"page":"574-581","source":"Crossref","is-referenced-by-count":5,"title":["On Recent Cheeger-Type Bounds for Nonmaximal Eigenvalues Applied to Positive Matrices"],"prefix":"10.1137","volume":"25","author":[{"given":"Stephen G.","family":"Walker","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,31]]},"reference":[{"key":"R1","unstructured":"Jeff Cheeger, A lower bound for the smallest eigenvalue of the Laplacian, Princeton Univ. Press, Princeton, N. J., 1970, 195\u201319953:6645"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1214\/aoap\/1177005980"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1214\/aoap\/1029962594"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1137\/0218077"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479899367755"}],"container-title":["SIAM Journal on Matrix Analysis and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S0895479802404684","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T17:38:10Z","timestamp":1787333890000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/S0895479802404684"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,1]]},"references-count":5,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2003,1]]}},"alternative-id":["10.1137\/S0895479802404684"],"URL":"https:\/\/doi.org\/10.1137\/s0895479802404684","relation":{},"ISSN":["0895-4798","1095-7162"],"issn-type":[{"value":"0895-4798","type":"print"},{"value":"1095-7162","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,1]]}}}